Calculus Limits and Evaluations
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Questions and Answers

What is the limit approaching -1/4?

  • 0
  • Undefined
  • 1/4
  • -1/4 (correct)

What is the limit approaching -3?

  • Undefined
  • 3
  • -3 (correct)
  • 0

What is the limit approaching 10?

  • Undefined
  • 0
  • 1
  • 10 (correct)

What does DNE stand for in limits?

<p>Does Not Exist (D)</p> Signup and view all the answers

What is the limit approaching -∞?

<p>-∞ (C)</p> Signup and view all the answers

What is the limit approaching ∞?

<p>∞ (A)</p> Signup and view all the answers

What is the limit approaching 6?

<p>6 (D)</p> Signup and view all the answers

What is the limit approaching 5?

<p>5 (B)</p> Signup and view all the answers

What is the limit approaching 4?

<p>4 (C)</p> Signup and view all the answers

What is the limit approaching 7?

<p>7 (B)</p> Signup and view all the answers

What is the limit approaching 11/2?

<p>11/2 (C)</p> Signup and view all the answers

What is the limit approaching 12?

<p>12 (D)</p> Signup and view all the answers

What is the limit approaching 9/2?

<p>9/2 (A)</p> Signup and view all the answers

Evaluate the limit for -5:

<p>Evaluate the limit</p> Signup and view all the answers

Evaluate the limit for -7:

<p>Evaluate the limit</p> Signup and view all the answers

Evaluate the limit for 40:

<p>Evaluate the limit</p> Signup and view all the answers

Evaluate the limit for 6:

<p>Evaluate the limit</p> Signup and view all the answers

Evaluate the limit for 1/25:

<p>Evaluate the limit</p> Signup and view all the answers

Evaluate the limit for 8:

<p>Evaluate the limit</p> Signup and view all the answers

Evaluate the limit for Does Not Exist:

<p>Evaluate the limit</p> Signup and view all the answers

Study Notes

Limit Values

  • Common limit values in calculus include -1/4, -3, 10, and integers such as 6, 5, 4, 7, 12, and 8.
  • Occasionally, limits can approach infinity (∞) or negative infinity (−∞), indicating unbounded behavior.

Limit Evaluations

  • Various values require evaluating limits, often resulting in numerical answers or indicating if the limit does not exist (DNE).
  • Specific limits to evaluate include:
    • -5 (Evaluate limit)
    • -7 (Evaluate limit)
    • 40 (Evaluate limit)
    • 6 (Evaluate limit)
    • 1/25 (Evaluate limit)
    • 8 (Evaluate limit)

Undefined Limits

  • "DNE" stands for "Does Not Exist," often used to describe scenarios where limits cannot be determined analytically or are undefined.

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Description

This quiz assesses your understanding of common limit values and the evaluation of specific limits in calculus. You will explore scenarios where limits approach finite values and cases where they do not exist. Test your skills in recognizing limits that yield numerical answers or signify undefined behavior.

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